349330401 has 20 divisors (see below), whose sum is σ = 596388672. Its totient is φ = 199617048.

The previous prime is 349330381. The next prime is 349330427. The reversal of 349330401 is 104033943.

It is not a de Polignac number, because 349330401 - 2⁵ = 349330369 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (349330441) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 307485 + ... + 308618.

Almost surely, 2^349330401 is an apocalyptic number.

It is an amenable number.

349330401 is a deficient number, since it is larger than the sum of its proper divisors (247058271).

349330401 is an equidigital number, since it uses as much as digits as its factorization.

349330401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616122 (or 616113 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 349330401 is about 18690.3825803540. The cubic root of 349330401 is about 704.2801706666.

The spelling of 349330401 in words is "three hundred forty-nine million, three hundred thirty thousand, four hundred one".